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  2. Hagen–Poiseuille equation - Wikipedia

    en.wikipedia.org/wiki/Hagen–Poiseuille_equation

    The laminar flow through a pipe of uniform (circular) cross-section is known as Hagen–Poiseuille flow. The equations governing the Hagen–Poiseuille flow can be derived directly from the Navier–Stokes momentum equations in 3D cylindrical coordinates ( r , θ , x ) by making the following set of assumptions:

  3. Airway resistance - Wikipedia

    en.wikipedia.org/wiki/Airway_resistance

    In fluid dynamics, the Hagen–Poiseuille equation is a physical law that gives the pressure drop in a fluid flowing through a long cylindrical pipe. The assumptions of the equation are that the flow is laminar viscous and incompressible and the flow is through a constant circular cross-section that is substantially longer than its diameter.

  4. Airflow - Wikipedia

    en.wikipedia.org/wiki/Airflow

    The range of Reynold's number that defines each type of flow depends on whether the air is moving through a pipe, wide duct, open channel, or around airfoils. Reynold's number can also characterize an object (for example, a particle under the effect of gravitational settling) moving through a fluid.

  5. Choked flow - Wikipedia

    en.wikipedia.org/wiki/Choked_flow

    Figure 1a shows the flow through the nozzle when it is completely subsonic (i.e. the nozzle is not choked). The flow in the chamber accelerates as it converges toward the throat, where it reaches its maximum (subsonic) speed at the throat. The flow then decelerates through the diverging section and exhausts into the ambient as a subsonic jet.

  6. Venturi effect - Wikipedia

    en.wikipedia.org/wiki/Venturi_effect

    Fluid flows through a length of pipe of varying diameter. To avoid undue aerodynamic drag, a Venturi tube typically has an entry cone of 30 degrees and an exit cone of 5 degrees. [1] Venturi tubes are often used in processes where permanent pressure loss is not tolerable and where maximum accuracy is needed in case of highly viscous liquids.

  7. Darcy–Weisbach equation - Wikipedia

    en.wikipedia.org/wiki/Darcy–Weisbach_equation

    In laminar flow, friction loss arises from the transfer of momentum from the fluid in the center of the flow to the pipe wall via the viscosity of the fluid; no vortices are present in the flow. Note that the friction loss is insensitive to the pipe roughness height ε: the flow velocity in the neighborhood of the pipe wall is zero.

  8. Reynolds number - Wikipedia

    en.wikipedia.org/wiki/Reynolds_number

    The Reynolds number has wide applications, ranging from liquid flow in a pipe to the passage of air over an aircraft wing. It is used to predict the transition from laminar to turbulent flow and is used in the scaling of similar but different-sized flow situations, such as between an aircraft model in a wind tunnel and the full-size version.

  9. Laminar flow - Wikipedia

    en.wikipedia.org/wiki/Laminar_flow

    A common application of laminar flow is in the smooth flow of a viscous liquid through a tube or pipe. In that case, the velocity of flow varies from zero at the walls to a maximum along the cross-sectional centre of the vessel. The flow profile of laminar flow in a tube can be calculated by dividing the flow into thin cylindrical elements and ...

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